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Finding the Fourth Proportional to 384.65, 576.91 and 124.64

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Solution

The fourth proportional to 384.65, 576.91 and 124.64 is: 186.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.65 : 576.91 = 124.64 : x
  2. Step 2: Convert to fraction form
    384.65/576.91 = 124.64/x
  3. Step 3: Cross multiply
    384.65x = 576.91 × 124.64
  4. Step 4: Simplify right side
    384.65x = 71,907.19
  5. Step 5: Solve for x
    x = 71,907.19/384.65
  6. Step 6: Final answer
    x = 186.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.